Hi & welcome to RootsChat.

I believe I have found the correct family in John Street Lambeth on the 1841. They consist of John born 1796 not in county, Elin(sic) born 1806 in county, Jane born 1831 in county & Elenar (sic) born 1838 in county.
Ancestry is FREE until this evening so if you have the time take a look at the christenings for Wakefield children of John & Elizabeth as there are quite a few. Here's a quick rundown.
Elizabeth christened 26 Nov 1826 St Pancras address Charlotte Street.
Jane Sarah christened 30 Mar 1828 St Pancras address Charlotte Street.
Sarah christened 18 April 1830 St Pancras address Charlotte Street.
John christened 7 Sept 1831 St Pancras address Charlotte Street.
Fanny christened 27 March 1836 St Pancras address Charlotte Street.
Eleanor christened 7 June 1840 St Pancras address Charlotte Street.
Emily Albertine christened 3 Oct 1842 Lambeth St Mary address John Street, (same as the 1841 census).
Albert Ormond Adolphus christened 30 March 1845 St Pancras address Albany Street.
I'm pretty sure these are all children for John & Elizabeth as for the first christening of daughter Elizabeth John is a Pastry Cook & all other christenings he is a Confectioner.
Hope this helps.
Maddie